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antoniya [11.8K]
3 years ago
11

Is the following relation a function ? S = {(1,2),(2,2),(-2,2)} justify your answer

Mathematics
1 answer:
elena55 [62]3 years ago
6 0

Answer:

<h3>               YES</h3>

Step-by-step explanation:

relation is a function if we have y for every x from domain and for one x we have one and only one y

x = 1  --> y = 2

x = 2 --> y = 2

x = -2 --> y = 2

no x-es without y-es

and no two the same x-es with one y

so this relation is a function

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Help ? showing how you got the answer would be absolutely awesome. thank you !
Sergeeva-Olga [200]

Answer:

62: 300l/hr

63: .018mi/s

64: .46qt/s

65: 298.2mi/hr

Step-by-step explanation:

62: 5x60=300

63: 68/60=1.13/60=.018

64:7gal=28qt 28/60=.467

65: 8km=4.97mi 4.97x60=298.2

5 0
3 years ago
(a). Consider the parabolic function f(x) = ax² +bx+c, where a ±0, b and care constants. For what values of a, band c is f
ki77a [65]

Information about concavity is contained in the second derivative of a function. Given f(x) = ax² + bx + c, we have

f'(x) = 2ax + b

and

f''(x) = 2a

Concavity changes at a function's inflection points, which can occur wherever the second derivative is zero or undefined. In this case, since a ≠ 0, the function's concavity is uniform over its entire domain.

(i) f is concave up when f'' > 0, which occurs when a > 0.

(ii) f is concave down when f'' < 0, and this is the case if a < 0.

In Mathematica, define f by entering

f[x_] := a*x^2 + b*x + c

Then solve for intervals over which the second derivative is positive or negative, respectively, using

Reduce[f''[x] > 0, x]

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5 0
2 years ago
Determine the maximum number of zeros and the x-intercepts of the function: (x^2-x-2)(3x-2)
schepotkina [342]

Answer:

3

Step-by-step explanation:

note that zeros and x-intercepts are the same with different names

There are 2 zeros from the quadratic factor and 1 from the linear factor.

To find them equate the function to zero, that is

(x² - x - 2)(3x - 2) = 0

(x - 2)(x + 1)(3x-2) = 0 ← factoring the quadratic

equate each factor to zero and solve for x

x - 2 = 0 ⇒ x = 2

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3x - 2 = 0 ⇒ x = \frac{2}{3}


4 0
3 years ago
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ch4aika [34]

Answer:what are all the choices

Also it’s 0

Step-by-step explanation:

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3 years ago
The refrigerator part of a refrigerator freezer has a volume of 27 cubic feet. The freezer part is 2 feet high, 2 feet deep, and
VLD [36.1K]
The answer is 39.
do 2x2x3 (answer is 12) then 27+12.
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